Hölder kernel estimates for Robin operators and Dirichlet-to-Neumann operators

DOI10.1007/s00028-019-00552-2zbMath1447.35081arXiv1910.07431OpenAlexW2991481419MaRDI QIDQ2195122

A. F. M. ter Elst, M. F. Wong

Publication date: 7 September 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07431

zbMATH Keywords

Robin boundary conditionsheat kernel estimatesDirichlet-to-Neumann operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Heat kernel (35K08)

Related Items (5)

Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients ⋮ Stability for quantitative photoacoustic tomography revisited ⋮ The diamagnetic inequality for the Dirichlet‐to‐Neumann operator ⋮ Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains ⋮ Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

Cites Work

• Green's functions for elliptic and parabolic systems with Robin-type boundary conditions
• Gaussian lower bound for the Neumann Green function of a general parabolic operator
• Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
• Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions
• Inverse positivity for general Robin problems on Lipschitz domains
• Local lower bounds on heat kernels
• Hölder estimates for second-order operators on domains with rough boundary
• Dirichlet-to-Neumann and elliptic operators on \(C^{1+\{\kappa}\)-domains: Poisson and Gaussian bounds
• The Dirichlet problem without the maximum principle
• The Dirichlet-to-Neumann operator via hidden compactness
• Partial Gaussian bounds for degenerate differential operators II
• Sectorial forms and degenerate differential operators
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Regularity Theorems and Heat Kernel for Elliptic Operators
• Bounds for the fundamental solution of a parabolic equation
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